stans bank account balance is less than negative 20.00
but greater than negative 21.00 what could stans account balance be

The equation representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The function y = x³, and we need to b it vertically by a factor of 4. So, this can be simply done by multiplying the function (x³) by 4.

Therefore, the b representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.

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The equation y = x³ with a vertical stretched by a factor of 4 is y = x³ + 4.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = x³

Vertically stretched by a factor of 4 means,

y = x³ + 4

Thus,

y = x³ + 4 is the equation.

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Answer:

1 : 2

Step-by-step explanation:

The original ratio would be 3 : 6, so now you need to simplify it.

To simplify ratios, you divide the number on each side by their greatest common factor. The GCF(greatest common factor) for 3 and 6 would be 3, so divide 3 by 3 =1 and divide 6 by 3 =2, so then your simplified ratio of circles to triangles would be 1 : 2

Hope this helps! :)

Answer:

3

Step-by-step explanation:

Given the data: 7 6 5 9 3 4 7 9 5 8

INTERQUARTILE RANGE (IQR) = Q3 - Q1

Rearranging the data: 3, 4, 5, 5, 6, 7, 7, 8, 9, 9

Q3 = 0.75(n+1)th term

Q3 = 0.75(10 + 1) th term

Q3 = 0.75(11)th term = 8.25th term

Taking the 8th term = 8

Q1 = 0.25(11)th term = 2.75th

Taking the average of the 8th and 9th term:

(5 + 5) / 2 = 10/2 = 5

Q3 - Q1 = (8 - 5) = 3

Answer:

If y = -30 when x = 15

then x = 60 when y = 60

Step-by-step explanation:

-8

hope it helps:-) :-) :-) :-)

Answer:

a = -8

Step-by-step explanation: Subtract 100 on both sides to isolate the variable. From there you will have 11a = -88. If you divide on both sides to cancel them out you will get you answer for the variable -8.

The manager of a garden shop wants to make a mixture that contains 74% rye grass. The weight of the 60% mixture used in this composition is 30 lb.

Percentage is used to denote a fraction of a hundred.

Suppose q represents the weight of the mix that contains 60% rye grass, then the weight of rye grass in this mix is:

w1 = 60% q = 0.6 q

Mix 2: 70 lb grass seed that contains 80% rye grass. The weight of rye grass in the second mix is:

w1 = 80% x 70 = 56 lb

The final mixture has 74% rye grass. Total weight of rye grass in the final mixture:

weight of rye grass = w1 + w2

                                = 0.6 q + 56

Total weight of the final mixture = (q + 70) lb

74% = 0.74 = (0.6 q + 56) / (q + 70)

0.6 q + 56 = 0.74 (q + 70)

0.74 q - 0.6 q = 56 - 0.74 x 70

0.14 q = 4.2

q = 4.2/0.14 = 30

Hence, the weight of 60% mixture is 30 lb.

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Answer:

Option A 12 is the answer

Answer:

\(\displaystyle y = 4x\)

Explanation:

Take a look at the endpoint of \(\displaystyle [10, 40].\) If you would just simply divide forty by ten, you will get your rate of change [slope] of four, leading you to the equation of \(\displaystyle y = 4x,\) especially because we are dealing with “direct variation”.

I am joyous to assist you at any time.

Answer:

16

Step-by-step explanation:

18+6=24

24-7=16

Answer:

k = - 1

Step-by-step explanation:

If (x - 5) is a factor of p(x) then p(5) = 0

p(5) = 5³ - 6(5)² + 5k + 30 = 0 , that is

125 - 150 + 5k + 30 = 0

5 + 5k = 0 ( subtract 5 from both sides )

5k = - 5 ( divide both sides by 5 )

k = - 1

Mean for start of school year is 6.5; Mean for end of school year is 7.2.

Median for start of school year is 6.5; Median for end of school year is 7.

To find the means, list out each data value given for each dot plot and calculated the mean.

Mean for start of school year:

We have, 4, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9

Mean = ( 4 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 9)/14

= 91/14

Mean ≈ 6.5

Mean for end of school year:

We have, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9

Mean = ( 5 + 5 + 6 + 6 + 7 + 7 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 9)/14

= 101/14

Mean ≈ 7.2

Median represents the middle data value in a data set, therefore:

Median for start of school year = ( 6 + 7)/2 = 6.5

Median for end of school year = ( 7 + 7)/2 = 7

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Answer:

2s+3l=14

s-l=2

Step-by-step explanation:

Let s represent the small candy bars and l represent the large candy bars. The system is

Answer:

a TENTH OF THE VALUE

Step-by-step explanation:

Answer

1,3,5,7,9

Step-by-step explanation:

Answer:

8/3 aka D

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

3/10*8/3=4/5

The probability of the soft drink machine filling a cup between 2121 and 3030 ounces with a normal distribution of the mean of 2727 ounces and a standard deviation of 33 ounces is 0.

It is given that the soft drink machine's output is normally distributed.

We know that for any normal distribution with X~(μ,σ)

f(z)= 1/σ√2π . e^(-(x - μ)²/2σ²),for all z ∈ R.

where  μ = The mean of the distribution

σ = the standard deviation of the distribution

Here

μ = 2727

σ = 33

We need to find

P(2121< x < 3030)

We know that the relation between a normal distribution and its Z-score is

P(a < X < b) = Φ((b- μ)/ σ)  -  Φ(a - μ/ σ)

here a = 2121  and  b = 3030

Therefore we get

P(2121< x < 3030) = Φ((3030- 2727)/ 33)  -  Φ(2121 - 2727/ 33)

= Φ((303)/ 33)  -  Φ(-606/ 33)

= Φ((303)/ 33)  -  Φ(-606/ 33)

= Φ((9.181818)  -  Φ(-18.363636)

From the Z score table, we know that the p-value will be

0 - 0

= 0

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Answer:

What's the best estimate for 26% of 44

Step-by-step explanation:

Step-by-step explanation:

Solve by substitution (Assumption)

Given:

[1] y = 6x - 11

[2] -2x-3y = -7

Using [1] substitute  (6x-11) for y in [2]

[3] -2x-18x+33=-7

Simplifying

[4] 20x=40

[5] x = 2

Using [5] substitute 4 for x in [1]

[6] y= 12 - 11

[7] y = 1

Solution is (x,y)=(2,1)

Answer:

5. Is your answer for ur questions

Answer:

y= 56

Step-by-step explanation:

y=5a-3b+c

a=12, b=4, c=8

y= 5(12) - 3(4) + (8)

y= 60 - 12 + 8

y= 56

- I hope this helps have a great night

Answer:

Give the triangle area so we can solve it for you.

Step-by-step explanation:

½*base*height

Step-by-step explanation:

the triangle is not given so let us take its base=b,and height=h

by using the formula=½*base*height

½*b*h

Answer:

B. (1, -3)

Step-by-step explanation:

When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.

(2, -6)

2 × 1/2 = 1

-6 × 1/2 = -3

(1, -3)

I hope this helps :))

Answer:

The answer is (1,-3)

Step-by-step explanation:

I took the test :)

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

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If Yu has 12 coins , that consists of 5 pennies , 4 nickels and 3 dimes , then the probability that total value of coins that lands up exactly 30 cents is 5/120 .

Yu have 12 coins, consisting of 5 pennies, 4 nickels and 3 dimes, and he tosses them all in the air,

we have to find the probability that total value of the coins that land heads up is exactly 30 cents ,

number of pennies ⇒ 0.01 = 5 ;

number of nickels ⇒ 0.05 = 4 ;

number of dimes ⇒ 0.10 = 3  ;

there will be 5 "30cent" combinations  ;

the combinations are  :

⇒ 0.10 × 3

⇒ 0.10 × 2 + 0.05 × 2

⇒ 0.10 × 2 + 0.05 × 1 + 0.01 × 5

⇒ 0.10 × 1 + 0.05 × 4

⇒ 0.10 × 1 + 0.05 × 3 + 0.01 × 5

so , the probability that total value lands up exactly 30 cents is = 5/(5×4×3×2)

= 5/120 ;

Therefore, the probability that the total value of the coins that land heads-up is exactly 30 cents is 5/120 .

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\(PQRS\) is a rhombus since \(\overline{QR} \cong \overline{RS}\) and \(m\angle R \neq 0^{\circ}\), \(m\angle R \neq 90^{\circ}\) and  \(m\angle R \neq 180^{\circ}\). \(\blacksquare\)

In this question we must prove that a given parallelogram is a rhombus. A rhombus is quadrilateral with four sides of equal length and two pairs of angles of equal measure, different to each other. We must demonstrate that \(\overline {QR} \cong \overline {RS}\) and \(m\angle R \neq 90^{\circ}\) and \(m\angle R \neq 0^{\circ}\) and \(m\angle R \neq 180^{\circ}\) by geometric and algebraic definitions and theorems:

\(PQRS\) is a rhombus since \(\overline{QR} \cong \overline{RS}\) and \(m\angle R \neq 0^{\circ}\), \(m\angle R \neq 90^{\circ}\) and  \(m\angle R \neq 180^{\circ}\). \(\blacksquare\)

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Option D is correct, there are no extraneous solutions to the equation.

The given equation is \(\sqrt{8x+9} =x+2\)

Let us solve for x:

Take square root on both sides:

\(8x+9=(x+2)^2\)

\(8x+9=x^2+4+4x\)

Now take the variable terms and constants on one side:

\(x^2-4x-5=0\)

\(x^2-5x+1x-5=0\)

\(x(x-5)+1(x-5)=0\)

\((x+1)(x-5)=0\)

x=-1 and x=5 are solutions.

Now, we will check both solutions to find any extraneous solution as:

\(\sqrt{8x+9} =x+2\)

When x=-1

\(\sqrt{8(-1)+9} =-1+2\)

\(\sqrt{1}=1\) so, it is true.

Now check for x=5:

\(\sqrt{8(5)+9} =5+2\)

7=7

Hence, there is no extraneous solution to our given equation and option D is the correct choice.

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Complete question:

Solve the radical equation. square root of 8x+9=x+2

Which is an extraneous solution to the radical equation?

(a)x = −1

(b)x = 1

(c)x = 5

(d)There are no extraneous solutions to the equation.

Answer:

22 pi ft

Step-by-step explanation:

We can use the area to find the radius

A = pi r^2

121 pi = pi r^2

Divide each side by pi

121 = r^2

Take the square root

sqrt(121) = sqrt(r^2)

11= r

Now we need to find the circumference

C = 2*pi*r

C = 2* pi *11

C = 22 pi ft

Answer:

1. Use area to find radius.

  A =  π r^2

  121 π = π r^2

2. Divide each side by π.

   121 = r^2

3. Take in the square root .

    \(\sqrt{121} = \sqrt{r^{2} }\)

   11 = r

4. Find the circumference .

   C = 2 × π × r

   C = 2 × π × 11

    C = 22 π ft

The marksman's velocity after firing the gun is about -0.63 m/s (in the opposite direction of the bullet's velocity), as calculated using the conservation of momentum principle.

The conservation of momentum principle can be used to resolve this issue. The initial momentum of the system (marksman plus gun) is zero, and the final momentum is also zero because the bullet and the marksman have equal and opposite momenta. Therefore, we can write:

initial momentum = final momentum

\(0 = (M + m) * V + m * v\)

where M is the mass of the gun, m is the mass of the bullet, V is the velocity of the gun after firing, and v is the velocity of the bullet after firing (which is 181 m/s in this case).

Solving for V, we get:

\(V = - m * v / (M + m)\)

= \(\frac{- 0.014 kg * 181 m/s}{(4.00 kg + 0.014 kg)}\) ≈ -0.63 m/s

Therefore, the marksman's velocity after firing the gun is about -0.63 m/s (in the opposite direction of the bullet's velocity).

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